In this paper, we construct an integrator that conserves volume in phase space. We compare the results obtained using this method and a symplectic integrator. The results of our experiments do not reveal any superiority of the symplectic over strictly volume-preserving integrators. We also investigate the effect of numerically conserving energy in a numerical process by rescaling velocities to keep energy constant at every step. Our results for Henon-Heiles problem show that keeping energy constant in this way destroys ergodicity and forces the solution onto a periodic orbit.
Okunbor, Daniel I., "Comparative Study of Louville and Symplectic Integrators" (1993). Computer Science Technical Reports. 47.
Keywords and Phrases
Hamiltonian Systems; Energy Conservation; Symplectic Integrators; Louville Integrators
© 1993 University of Missouri--Rolla, All rights reserved.
29 Sep 1993